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Gauss: AI-assisted strong prime number theorem formalization

Math, Inc. reports completion of a Lean formalization of the strong prime number theorem and supporting complex-analysis infrastructure using Gauss with human guidance.

Sources for this record

What was already known

The mathematical theorem was already known. The project builds on the human PrimeNumberTheoremAnd development and an existing blueprint.

What changed and why it matters

A substantial formal development and reusable analytic infrastructure merit inclusion even though the underlying mathematical theorem is known.

The AI contribution

Gauss generated substantial Lean statements and proofs; humans supplied the blueprint, reviewed key lemmas, and adapted prior work.

Limitations

This is formalization of established mathematics, not a new prime-distribution theorem. The repository identifies reused files and human scaffolding. AIProofWatch has not compiled or audited its statements and axioms.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The source reports this precise contribution; statement review does not establish a proof audit.

Accessible artifact / proof

Accessible supporting proof or code; not compiled or reproduced by AIProofWatch.

Correction and publication history

2026-10-11 · publication

Public-discussion audit found this substantive scoped contribution missing. Source statement, baseline, attribution and importance reviewed; no full proof audit. Historical addition without subscriber alerts.

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